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Finding the Fourth Proportional to 3,668.34, 5,489.83 and 2,262.20

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Solution

The fourth proportional to 3,668.34, 5,489.83 and 2,262.20 is: 3,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.34 : 5,489.83 = 2,262.20 : x
  2. Step 2: Convert to fraction form
    3,668.34/5,489.83 = 2,262.20/x
  3. Step 3: Cross multiply
    3,668.34x = 5,489.83 × 2,262.20
  4. Step 4: Simplify right side
    3,668.34x = 12,419,056.08
  5. Step 5: Solve for x
    x = 12,419,056.08/3,668.34
  6. Step 6: Final answer
    x = 3,385.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.